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Finding the Fourth Proportional to 242.57, 334.85 and 144.34

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Solution

The fourth proportional to 242.57, 334.85 and 144.34 is: 199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 334.85 = 144.34 : x
  2. Step 2: Convert to fraction form
    242.57/334.85 = 144.34/x
  3. Step 3: Cross multiply
    242.57x = 334.85 × 144.34
  4. Step 4: Simplify right side
    242.57x = 48,332.25
  5. Step 5: Solve for x
    x = 48,332.25/242.57
  6. Step 6: Final answer
    x = 199.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.